Finding the Fourth Proportional to 2,071.71, 3,107.84 and 684.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.71 : 3,107.84 = 684.72 : x
2. Step 2: Convert to fraction form
   2,071.71/3,107.84 = 684.72/x
3. Step 3: Cross multiply
   2,071.71x = 3,107.84 × 684.72
4. Step 4: Simplify right side
   2,071.71x = 2,127,996.78
5. Step 5: Solve for x
   x = 2,127,996.78/2,071.71
6. Step 6: Final answer
   x = 1,027.17